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540146310 = 235114873361
BaseRepresentation
bin100000001100011…
…111101010000110
31101122101021102220
4200030133222012
52101234140220
6125333113210
716246111404
oct4014375206
91348337386
10540146310
11257997a10
12130a88806
1387ba0402
1451a46474
1532648540
hex2031fa86

540146310 has 64 divisors (see below), whose sum is σ = 1417526784. Its totient is φ = 130636800.

The previous prime is 540146293. The next prime is 540146323. The reversal of 540146310 is 13641045.

It is a super-4 number, since 4×5401463104 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159030 + ... + 162390.

It is an arithmetic number, because the mean of its divisors is an integer number (22148856).

Almost surely, 2540146310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540146310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708763392).

540146310 is an abundant number, since it is smaller than the sum of its proper divisors (877380474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540146310 is a wasteful number, since it uses less digits than its factorization.

540146310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 540146310 is about 23241.0479539973. The cubic root of 540146310 is about 814.3988239745.

Adding to 540146310 its reverse (13641045), we get a palindrome (553787355).

The spelling of 540146310 in words is "five hundred forty million, one hundred forty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 487 974 1461 2435 2922 3361 4870 5357 6722 7305 10083 10714 14610 16071 16805 20166 26785 32142 33610 36971 50415 53570 73942 80355 100830 110913 160710 184855 221826 369710 554565 1109130 1636807 3273614 4910421 8184035 9820842 16368070 18004877 24552105 36009754 49104210 54014631 90024385 108029262 180048770 270073155 540146310